Writing Linear Equations from Graphs, Tables and Word Problems

Y = mx + bm = slope b = y-intercept 1. Write an equation of the line shown on the graph. y = 1 -1 y = -1 +1 y = -1 -1 y = -2x +1 2. Write an equation of the line shown in the graph. y = 1x +2 y = -1x -2 y = 1x - 2 y = -1x + 2 3. Write an equation of the line shown in the graph. y = -3x y = 3x y = 3 y = 3x + 1 4. Write an equation of the line shown in the graph. y = 1 -4 y = -2x +4 y = 2x - 4 y = -2x - 4 5. Write an equation of the line shown in the graph. y = 2 + 1 y = -2 + 1 y = 3 + 1 y = 2 - 1 6. Write an equation of the line from the table. m = _b = _Equation = _ Y = 3x + 20 Y = 5x + 25 Y = 5x + 20 Y = 5x + 10 7. Write an equation of the line from the table. m = _b = _Equation = _ Y = 120x Y=x Y = 60x Y=2x + 10 8. Write an equation of the line from the table. m = _b = _Equation = _ Y = -x + 5 Y = -x + 2 Y = -x + 3 Y = -x + 8 9. Write an equation of the line from the table. m = _b = _Equation = _ Y = 3 x - 3 Y = 3 x + 3 Y =4 x - 2 Y =4 x 10. Write an equation of the line from the table. m = _b = _Equation = _ Y = 6x - 9 Y=2x - 8 Y= 4x - 1 Y=6x - 7 In this section, match each word problem with the correct equation. Melissa is saving $25 that she earned for washing her mom's car. She earns $10 every week for doing chores, which she also saves. Which function can be used to find t, the amount of money Melissa will have saved at the end of n weeks of doing chores? t=10n+25 Frankie bought a new computer. He made an intial payment of $50 to the store, and he will pay $30 each month until the computer is paid off. Which equation represents the relationship between n, the number of monthly payments Frankie has made, and t, the total amount that Frankie has paid the store? t=30n+50 A canoe rental service charges a $20 transportation fee and $30 dollars an hour to rent a canoe. Which equation represents the cost, t, of renting a canoe for n hours? t=20+30n A water tank already contains 55 gallons of water when Baxter begins to fill it. Water flows into the tank at a rate of 8 gallons per minute. Write a linear equation to model this situation. t=8n+55